   Chapter 7.R, Problem 67E

Chapter
Section
Textbook Problem

# The speedometer reading (v) on a car was observed at 1-minute intervals and recorded in the chart. Use Simpson’s Rule to estimate the distance traveled by the car. t(min) v(mi/h) 0 40 1 42 2 45 3 49 4 52 5 54 6 56 7 57 8 57 9 55 10 56

To determine

To estimate:

The distance travelled by car using the Simpson’s Rule.

Explanation

Given:

010v(t)dt

Formulae used:

The Simpson’s Rule

Consider 010v(t)dt for n=10

Hence, use the integration by using Simpson’s rule

Interval width:

Δt=ban=10010=1=160hr

Thus, the Simpson’s rule formula with n+1=11 terms

S6=010v(t)dtΔt3[v(0)+4v(1)+2v(2)+4

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